Òåñò 1.3 Beam with tightener

Verification of the LIRA-FEM software / Òåñò 1.3 Beam with tightener / Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.



Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.

Geometry:
Ñòåðæíè AD, DF, FB: À = 0.01516 ì2; Àr = A/2.5; I = 2.174 x 10-4 ì4.
Ñòåðæíè AC, DC, CE, FE, EB: À1 = À2 = 4.5 x 10-3 ì2; À3 = 3.48 x 10-3 ì2.
à = 2 ì; b = 4 ì; l = 8 ì; ñ = 0.6 ì; d = 2.088 ì.

Material characteristics: Isotropic elastic, Å=2.1 õ 1011 Ïà, G=0.4 x Å Ïà.

Boundary conditions: uA = vA = 0; vB = 0.

Stresses:


p = -50000Í/ì.
The tightening is tightened on the
δ = 6.52 x 10-3 ì.

CALCULATION RESULTS:

Point

The desired value

Analytical solution

Calculation results (LIRA)

Uncertainty,%

ÑÅ

Longitudinal force, Í

584584

584584

0

Í

Moment Ì, Íì

49249,5

49249,5

0

D

Moving vD, ì

-0,0005428

-0,0005428

0

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